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S V F SCIENCE OLYMPIAD FOUNDATION

SAMPLE PAPER

DPS Science & Maths TALENT EXAMINATION

2014-15

Time : 2 hrs. Guidelines for the Candidate Total Marks : 100

1. The paper consists of four sect ions -Phys ics (20 Quest ions), Chemistry (20 Quest ions), Biology (20 Quest ions) and Mathematics (40 Quest ions)

2. Al l quest ions are compulsory and carry equal marks. There is no negative marking. Use of calculator is not permitted.

3. Write your Name, Schoo l Name and Roll No. clearly on the Answer sheet and do not forget to sign.

4. There is only one correct answer hence mark one choice only.

5. Answer sheet is given on the last page. Darken your choice with HB Pencil or Blue / Black Ball Point Pen only.

For E x a m p l e :

Q.16: In the water cycle, condensation is the process of

(A) Water vapour cooling down and turning into a liquid (B) Ice warming up and turning into a liquid (C) Liquid cooling down and turning into ice (D) Liquid warming up and turning into water vapour 16.

A s the correct answer is option No. (A), the candidate should darken the circle corresponding to option No. (A)

6. Rough work should be done in the blank space provided in the booklet.

I SYLLABUS I

Science: Motion, Force and Laws of Motion, Gravitation, Work and Energy, Sound, Matter, Atoms and Molecules, Structure of the Atom, Cell & Tissue, Diversity in Living Organisms, Ecology, Biology in Human Welfare, Health & Disease.

Mathematics : Mathematical Operations, Series Completion, Arithmetical Reasoning, Problems on Cubes and Dice, Number

Ranking &Time Sequence Test, Inserting Missing Character and General Reasoning based on Prescribed Syllabus.

Number System, Polynomials, Ratio and Proportions, Co-ordinate Geometry, Linear Equation in Two Variables, Percentage and its Applications, Compound Interest, Lines and Angles, Triangles, Circles, Quadrilaterals, Area of Parallelograms and Triangles, Mensuration of Plane and Solid Figures, Statistics, Probability, Heron's Formula.

PHYSICS

1. Which of the following graphs represent uniform motion? A A i A

(A) ( i )and( i i ) (B) (i) and (iv)

Time (iii)

(C) (iii) and (ii)

Time (iv)

(D) (i) and (iii)

2. A stone is tied to one end of a string, and is rotated in a horizontal circle whose centre lies at the other fixed end of the string. If the stone is released during its motion by letting the fixed end free. The path described by the stone is (A) A long a straight line towards the centre of the circle (B) A long a straight line (radially) away from the centre of the circle (C) Along a straight line tangential to the circular path (D) It doesn't change its path.

3. A jet engine works on the principle of (A) Conservat ion of linear momentum (B) Conservat ion of kinetic energy (C) Conservat ion of angular momentum (D) Conservat ion of inertia.

4. In an isolated system (A) S o m e external force acts on the system (B) Velocity of the particles of the system doesn't change (C) Total momentum remains conserved (D) Al l of these.

5. A spaceship brings a rock of mass to the earth. On the surface of earth (A) Mass of rock changes but not the weight (B) Weight of rock changes but not the mass (C) Mass and weight of the rock remain same (D) Both mass and weight of the rock change.

6. A ball thrown up vertically returns to the thrower after 6 seconds. The velocity with which it was thrown is

(A) 30 m/s (B) 30 4l m/s (C) - 2p m/s (D) 30 x 2 m/s

7. A cricket ball weighing 100 g and moving with a speed of 20 m s~1 strikes a bat and remains in contact with it for 0.1 s. The average force exerted by the ball on the bat is (A) 100 N (B) 40 N (C) 20 N (D) 1 N

8. A liquid is taken in different shaped vessels as shown in the figure.

The vessels are filled with the liquid up to same level. We know that (i) Pressure is inversely proportional to the area on which force acts. (ii) Pressure depends on the depth of liquid column. Which vessel will have the highest pressure at the bottom? (A) 1 (B) 2 (C) 3 (D) 4

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9. Match the items of Column A with the corresponding items of Column B.

Column A Column B 1. Sound waves of frequency less than 20 Hz (a) 20 Hz to 20,000 Hz 2. Audible range of frequency (b) Wavelength 3. Distance between two successive compressions (c) About 340 m s~1

4. Speed of sound waves in air (d) infrasonic waves (A) 1-(d); 2-(a); 3-(b); 4-(c) (B) 1-(b); 2-(c); 3-(d); 4-(a) (C) 1-(a); 2-(b); 3-(c); 4-(d) (D) 1-(c); 2-(d); 3-(a); 4-(b)

10. Which of the following statement is not true regarding circular motion? (A) The body moves with a uniform speed. (B) The body moves with a variable velocity. (C) The body has a uniform accelerat ion. (D) The body has a uniform velocity.

11. An iron ball and a glass ball of same size are immersed in water. Which of the following statement is correct? (A) The weight loss in iron ball is more. (B) The weight loss in glass ball is more. (C) The buoyant force on iron ball is more. (D) The buoyant force is same on both the balls.

12. Choose the correct statement. (A) A low pitch sound has high frequency. (C) Soft sound has large amplitude.

(B) A high pitch sound has high frequency. (D) Louder sound has small amplitude.

13. In the given graph the work done during the first 5 second is

(A) 10 J

(B) 12.5 J

(C) 15 J

(D) 17.5 J

1 5 f

F ( N ) 1 0

5

0 1 2 3 4 f(seconds)

14. The velocity of a particle increases from u to v in a time t during which it covers a distance S. If the particle has a uniform acceleration a, which one of the following equation does not apply to the motion?

(A) 2 S = (v + u)t (B) V - u

t (C) v2 = u2 - 2aS (D) u + ^at

15. Which type of energy conversion taking place when a compressed spring is released? (A) Molecular energy to potential energy. (B) Kinetic energy to potential energy. (C) Potential energy to kinetic energy. (D) Potential energy to molecular energy.

16. A body thrown vertically up, at the maximum height (A) The velocity is not zero but acceleration is zero (C) Both acceleration and velocity are zero

(B) The acceleration is not zero but velocity is zero (D) Both acceleration and velocity are not zero.

17. If 'X represent the product of the masses of two bodies and F be the force of attraction between the two bodies, then F varies with X a s

(A) (B)

X

(C) (D)

X

18. Pressure at a point inside a liquid does not depends on (A) The depth of the point below the surface of the liquid (B) The nature of the liquid (C) The acceleration due to gravity at that point (D) The shape of the containing vessel.

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19. Three blocks A, B and C of masses 10 kg, 3 kg, and 5 kg respectively are connected by a light inextensible smooth horizontal plane. If a force of 36 N is applied to the string connected to C.

10 kg 3 kg T2

5 kg

A B T2

C A B C - 3 + 3 6 N

The ratio of T2 and 7, is (A) 1 0 : 1 3 (B) 1 0 : 2 (C) 1 3 : 1 0 (D) 1 : 5

20. A sharp knife can cut food much more easily because (A) It produces a greater pressure on the food (B) (C) It produces a greater force than a blunt knife (D)

Friction between the blade and the food is reduced Its mass is less as the blade is thinner.

CHEMISTRY

21. Types of solutions in boxes P, Q and R respectively are

24.

(A) Suspension (B) Solution (C) Solution (D) Suspension

Q Colloidal Colloidal Suspension Solution

R Solution Suspension Colloidal Colloidal Q

(B) (a)-( i i ) , (b)-( i ) , (c)-( iv) , (d)-( i i i ) (D) (a)-( i i ) , (b)-( i ) , (c)-( i i i ) , (d)-( iv)

Favourable conditions for evaporation are I. Increase in surface area III. Increase in humidity (A) I and II only (C) I, II and IV

II. Increase in temperature IV. Increase in wind speed (B) II and III only (D) I, II, III and IV

O O © © ©

o o o o © o o

22. Match both the columns and select the correct option from the codes given below. Column I Column II

(a) Mercury (i) Acidic oxide (b) C 0 2 (ii) Liquid metal (c) Gold (iii) Basic oxide (d) MgO (iv) Malleable

(A) (a)-(i),(b)-(i i),(c)-(i i i),(d)-(iv) (C) (a)-(iv),(b)-(i i),(c)-(i i i),(d)-(i)

23. Considerthe following statements : Assertion (A): Gun powder is an example of mixture. Reason (R): The components of gun powder are not present in a fixed ratio. Of these statements: (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true but R is not the correct explanation of A (C) A is true but R is false (D) A is false but R is true.

25. Water -J

Add salt

Water

o o o o o o Stir

Salt

V . • % T — Water -Salt

The conclusion we can draw from the above experiment is that (A) nature of matter is continuous (B) matter is made up of particles (C) particles of salt get into the spaces between the particles of water (D) both (B) and (C)

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26. If 2.5 g of a solute is dissolved in 25 g of water to form a saturated solution at 298 K, the solubility of the solute is (A) 0.1 (B) 10 (C) 100 (D) 50

27. Choose the correct comparison between solution and suspension.

Solution Suspension

(A) Homogeneous separated by filtration

non-homogeneous not separated by filtration

(B) Homogeneous not separated by filtration

non-homogeneous separated by filtration

(C) Non-homogeneous separated by filtration

homogeneous not separated by filtration

(D) Non-homogeneous not separated by filtration

homogeneous separated by filtration

28. Neha sets up an experiment as shown in the figure She is trying to . (A) check the solubility of ink in water

(B) find out the number of components of ink (C) observe the effect of gravity on the process (D) observe absorption of ink on paper

29. In the diagram, air is compressed when the plunger moves from P to Q. This is because air (A) is highly compressible (B) has particles which are constantly moving

(C) has particles which have intermolecular forces

(D) has particles of negligible mass.

30. The option showing the correct relative mass and relative charge of a proton, neutron and electron respectively is

Proton Neutron Electron

relative mass relative charge relative mass relative charge relative mass relative charge

(A) 1 + 1 1 0 very small -1

(B) 0 + 1 0 0 1 0

(C) 1 0 1 0 1 0

(D) 1 +1 0 0 very small -1

31. What weight of oxygen gas will contain the same number of molecules as 56 g of nitrogen gas? (A) 64 g (B) 32 g (C) 56 g (D) 28 g

32. Match both the columns and select the correct option from the codes given below. Column I (Fuel) Column II

(a) LPG (i) Paints (b) Bitumen (ii) Ointments (c) Paraffin wax (iii) Aviation fuel

(d) Petrol (iv) Fuel for home

(A) (a)-(i), (b)-(iii), (c)- (iv), (d)-(i i) (B) (a)- Oi). (b)- (i), (c)-(i i i), (d)-( iv) (C) (a)-(iv), (b)-(i), (c)- (ii), (d)-(iii) (D) (a)- (iv), (b)- (i); (c)-(Ni), (d)-(ii).

.Strip of filter paper

Line drawn by pencil

pot of ink (b)

-Glass rod Paper clips

-Jar

Strip of filter paper

Spot of ink

Water

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33. Statement I : Number of molecules of water in 18 u of water is same as the number of molecules of S 0 2

in 64 u of S 0 2 . Statement II : Number of molecules of water in 18 g of it is same as the number of molecules of

S 0 2 in 18 g of S 0 2 . (A) Both statements I and II are true and statement II is the correct explanation of statement I.

(B) Both statements I and II are true but statement II is not the correct explanation of statement I.

(C) Statement I is true but statement II is false.

(D) Statement I is false but statement II is true.

34. Concentration of a solution, in mass by volume percentage, when 36 g of sodium chloride is dissolved in water to form 145 mL of solution is .

(A) 24.8 (B) 32.9 (C) 0.248 (D) 0.329

35. Li occurs in nature in two isotopic forms with masses 6.015 u and 7.016 u in the ratio 7.42 : 92.58. The average atomic mass of Li atom is

(A) 6.94 (B) 6.12 (C) 7.12 (D) 7.00

36. Statement I : The atoms of different elements having same mass number but different atomic numbers are known as isobars.

Statement II : The sum of protons and neutrons, in the isobars is always different.

(A) Both statements I and II are true and statement II is the correct explanation of statement I.

(B) Both statements I and II are true but statement II is not the correct explanation of statement I.

(C) Statement I is true but statement II is false. (D) Statement I is false but statement II is true.

37. Solid ^ "* Liquid ^ ~* Gas . Which of the following statements is correct?

(A) Convers ion of gas to liquid can be done by increasing pressure and temperature. (B) Convers ion of liquid to solid can be done by increasing temperature and reducing pressure. (C) Convers ion of solid to gas can be done by decreasing temperature and increasing pressure. (D) Convers ion of liquid to gas can be done by increasing temperature and reducing pressure.

38. Following are three beakers containing mixtures as given below. c r 33 CL X5

2 g « 2 g » •2 drops' powdered

NaCI + of milk + chalk + 100 c.c. 100 c.c. 100 c.c.

I H20 , 1 H20 , V HzO J (X) 09 (Z)

Identify the correct statement. (A) (X) and (Z) represent suspension, (Y) represents col loid. (B) (X) and (Y) represent true solution, (Z) represents suspension. (C) (X) represents true solution, (Y) represents colloid and (Z) represents suspension. (D) (X) represents true solution, (Y) represents suspension and (Z) represents col loid.

39. Match Column I with Column II and select

Column I (a) Liquid (b) Gas (c) Plasma

(d) Bose-Einstein condensate

(A) (a) - (p), (b) - (q), (c) - (r), (d) - (s)

(C) (a) - (q), (b) - (p), (c) - (s), (d) - (r)

correct option from the codes given below. Column II

(p) Highly compressible (q) Definite volume (r) Super low density (s) Super energetic (B) (a) - (q), (b) - (p), (c) - (r), (d) - (s) (D) (a) - (r), (b) - (p), (c) - (q), (d) - (s)

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40. C h o o s e the correct statement. (A) Components of air cannot be separated at different heights. (B) The constituents of air can be separated by physical means. (C) Air is a heterogeneous mixture. (D) All of these.

BIOLOGY

41. Xylem consists of tracheids, vessels, xylem parenchyma and xylem fibres. One of these components helps in sideways conduction of water, stores food and is living. Which of the following figures represents that component?

(A) (B) (C) (D)

42. Meristematic tissues of plants include (A) Mature fruits, tips of stem and root, cork cambium (C) Vascular cambium, cork cambium, mature leaves

(B) Stem and roottips, vascular cambium, cork cambium (D) Tips of mature leaves and mature fruits

43. Match column I with column II and select the correct option from the codes given below. Column I

(a) Areas of protected land for conservation of wild life, plant and animal resources and traditional life of the tribals living in the area

(b) Area reserved for wild life where they can freely use the habitats and natural resources

(c) Areas where animals are protected from any disturbance to them and their habitat

(A) (a)-(ii),(b)-(i),(c)-(ii i)

(C) (a) - (ii), (b)-(iii), (c)-(i)

(i)

Column II National Park

(ii) Biosphere Reserve

(iii) Sanctuary

(B) (a)-( i ) , (b)-( i i ) , (c)-( i i i )

(D) (a)-( i i i ) , (b)-( i i ) , (c)-( i ) .

44. The diagram shows a plant cell as seen under a microscope. Match the functions of the organelles mentioned as a, b, c, d, e.

Control of entry of substances

Keep the cell clean

Detoxification Photosynthesis Rigidity and shape of cell

(A) e a b c d

(B) a b c d e

(C) c a e b d

(D) d b a c e

45. Match column I with column II and select the correct answer from the codes given below. Column I

(a) Squamous epithelium (b) Columnar epithelium (c) Cuboidal epithelium (d) Ciliated epithelium

(A) (a)-(iii), (b)-(ii, vi), (c)-(i), (d)-(iv, vii) (C) (a)-(iv, v), (b)-(iii, vi), (c)-(ii), (d)-(i, vii)

Column II (i) Iris of eye (ii) Fallopian tube (iii) Stomach (iv) Alveoli of the lungs (v) Internal ear (vi) Pancreatic duct (vii) Gall bladder (B) (a)-(iv, v), (b)-(iii, vii), (c)-(i, v'i)|, (d)-(ii) (D) (a)-(i), (b)-(ii, v), (c)-(iii), (d)-(iv1, vi)

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46. In which of the given plants there is requirement of water to complete their life cycle?

(A) ( i)and(i i)

(B) (i), (ii)and (iii)

(C) (ii) and (iii)

(D) ( i i)and(iv)

47. Crotolaria juncea, Sesbania aculeata and Cyamopsis tetragonoloba are (A) Green manure (B) Farmyard manure (C) Compost (D) Mixed in fertilizers

48. These animals are cold-blooded, have scales and breathe through lungs. They have four-chambered heart. They lay eggs with tough covering and do not need to lay their eggs in water. Which of the following animals is referred to in the above paragraph?

(C) (D)

49. Microorganisms are used for the large scale production of alcohol, wine and acetic acid. X is used for commercial production of alcohol and wine. The process of conversion of sugar into alcohol is known asY. What are X and Y respectively? (A) Lactobacillus, Decantation (B) Streptococcus, Distillation (C) Yeast, Fermentation (D) Penicillium, Aerobic respiration

50. Which of the following statements are true/false? (i) Oviparous animals give birth to young ones. (ii) External fertilization takes place in frog. (iii) An embryo is made up of a single cell. (iv) A new human individual develops from a cell called gamete. (v) Amoeba reproduces by binary fission. (vi) A zygote is formed as a result of fertilization. (A) (i), (iii) & (iv) are false, (ii), (v) & (vi) are true (B) (i) & (iii) are false, (ii), (iv), (v) & (vi) are true (C) (iii) & (iv) are false, (i), (ii), (v) & (vi) are true (D) (iii) & (v) are false, (i), (ii), (iv) & (vi) are true.

51. X is a phylum. The organisms belonging to X are bilaterally symmetrical, triploblastic and possess pseudocoelom. Identify X. (A) Platyhelminthes (B) Annelida (C) Coelenterata (D) Nematoda

52. Select the correct statement(s). (i) Helicobacter pylori is the causal agent of peptic ulcer. (ii) Staphylococci is responsible for acne. (iii) Trypanosoma causes kala azar. (iv) Leishmania donovani is a bacterium. (A) ( i)and(i i) (B) (ii) and (iii) (C) Only(iv) (D) Only(ii)

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53. The given figure shows the carbon cycle in nature. Identify correctly the processes labelled as I, II, III and IV.

(A) Photosynthesis Respiration Respiration Decomposition (B) Respiration Photosynthesis Respiration Decomposition (C) Photosynthesis Combustion Respiration Decomposition (D) Photosynthesis Combustion Combustion Decomposition

54. Plants get their nitrogen (A) By absorbing nitrogen compounds present in the soil (B) (C) From dissolved nitrogen gas in the water in the soil (D)

By taking in nitrogen gas from the air into the leaves From photosynthesis

55. The given figure shows the position of peptic ulcers. These ulcers cause acidity- related pain and bleed­ing. Identify the names of these ulcers from the codes given below.

(A) (B) (C) (D)

Oesophageal Gastric Duodenal Duodenal

Q Gastric Gastric Oesophageal Gastric

R Duodenal Gastric Gastric Oesophageal

56. Statement I : UV radiation causes photodissociation of ozone into 0 2 and O, thus causing damage to ozone layer.

Statement II : Ozone hole is resulting in global warming and climatic change. (A) Both statements I and II are true and statement II is the correct explanation of statement I (B) Both statements I and II are true but statement II is not the correct explanation of statement I (C) Statement I is true but statement II is false (D) Statement I is false but statement II is true

57. Match column I (common name) with column II (scientific name) and select the correct option from the codes given below.

Column I (a) Feather star (b) Climbing perch (c) Ostrich (d) Flying lizard (e) Tree frog

(A) (a)-(vii), (b)-(v), (c)-(vi), (d)-(iii). (e)-(iv) (C) (a)-(vii), (b)-(v), (c)-(vi), (d)-(i), (e)-(ii)

Column II (i) Draco (ii) Hyla (iii) Hemidactylus (iv) Rana tigerina (v) Anabas (vi) Struthio camel us (vii) Antedon

(B) (a)-(i), (b)-(v), (c)-(vi), (d)-(ii), (e)-(vii) (D) (a)-(i), (b)-(ii), (c)-(iii), (d)-(iv), (e)-(v)

58. Which of the following is not a green house gas? (A) Sulphur dioxide (B) Methane (C) Carbon dioxide (D) Nitrous oxide

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59. Labeo and Catla are (A) Fresh water fishes (C) Brackish water fishes

(B) Marine fishes (D) All of these

60. Statement I: Chemical pesticides are more hazardous as compared to biopesticides. Statement II: Chemical pesticides are mostly non specific and pollute the atmosphere.

(A) Both statements I and II are true and statement II is the correct explanation of statement I

(B) Both statements I and II are true but statement II is not the correct explanation of statement I (C) Statement I is true but statement II is false (D) Statement I is false but statement II is true

MATHEMATICS

1 1 +

1 1 1 1 1 61. The value of + + - - - ^ + y J f - - is

(A) 0 (B) 1 (C) 2 (D) 4

6 2 . , f 9 n x 3 2 x ( 3 ^ ) - 2 - ( 2 7 ) " = ± t h e n m _ n i s

3 3 m x 2 3

(A) 1

27

(B) 2 (C) 3 (D) 4

40 63. Evaluate 2VTo + v 20 + V40 - 2^5 - V80 w h e n ' * i s g i v e n t h a t ^ 5 = 2 , 2 3 6 a n d = 3 1 6 2

(A) 10.796 (B) 10.976 (C) 10.679 (D) 10.769

64. Find the value of k if ( x - 1) is a factor of 4x3 + 3x2 - Ax* k. (A) 3 (B) - 5 (C) 5 (D) - 3

DIRECTION (65-66) : Study the following graph and answer the given questions :

Result of Annual Examination In a High School

80 80

Number of girls

Number of boys

VII VIII Standard

65. In which standard is the difference between the results of girls and boys maximum ?

(A) V (B) VII (C) X (D) VIII

66. In which standard is the result of boys less than the average result of the girls? (A) VII (B) IX (C) VI (D) VIII

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67. The taxi fare in a city is as follows : For the first kilometre, the fare is? 10 and for the subsequent distance it is ? 7 per kilometre. Taking the distance covered as x km and total fare as ? y, a linear equation for this information is (A) 7x + y + 3 = 0 (B) 7x - y + 3 = 0 (C) 7x + y - 3 = 0 (D) 7x - y - 3 = 0

68. Which of the following is Euclid's axiom? (A) The things which coincide with one another are not equal to one another. (B) If equals are subtracted from equals, the remainders are not equal. (C) The whole is greater than the part. (D) None of these.

69. Study the given number series : 7 8 9 7 6 5 3 4 2 8 9 7 2 4 5 9 2 9 7 6 4 7

How many 7's are preceded by 9 and followed by 6? (A) 2 (B) 3 (C) 4 (D) 5

70. If 2X = 3" = 6Z, then - = — + — is z x y

(A) True (B) False (C) Can't say (D) Data is insufficient.

71. Find the value of R

(A) -109

a^-19a-25 . s R = a-12 +

a - 7

(B) -88

a - 7

(C) -84 (D) -64

72. A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number, 1, 2, 3 , 1 2 as shown in figure. What is the probability that it will point to multiple of 4.

1 (A) - (B)

(D)

A \

[6

/10V

\

73. A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article.

(A) 280 cm 2

(B) 72.68 cm 2

(C) 195.46 cm 2

(D) 374 cm 2

74. The measurement of a window is 3.6 m * 1.8 m. If 6 doors are to be fixed in that window in two rows, measurements of each door should be (A) 120 cm x go cm (B) 60 cm * 60 cm (C) 24 cm x 18 cm (D) 240 cm x 180 cm

8

75. In the given diagram the triangle represents doctors, the circle represents players and the rectangle represents artists. Which numbered space in the diagram represents doctors who are also players and artists?

(A) 2 (B) 3

(C) 4 (D) 5

(\ ! 3 /

1

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